Maximum principles for submanifolds of arbitrary codimension and bounded mean curvature

DOI10.1007/S00526-004-0270-0zbMath1161.35386OpenAlexW2019470725MaRDI QIDQ1763135

Ulrich Dierkes, Dirk Schwab

Publication date: 21 February 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-004-0270-0

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (5)

Necessary conditions and nonexistence results for connected submanifolds in a Riemannian manifold ⋮ Enclosure theorems and barrier principles for energy stationary currents and the associated brakke-flow ⋮ A barrier principle at infinity for varifolds with bounded mean curvature ⋮ Maximum principles for energy stationary hypersurfaces ⋮ Enclosure and non-existence theorems for area stationary currents and currents with mean curvature vector

Cites Work

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• Maximum principles and nonexistence results for minimal submanifolds
• Uniqueness and nonexistence theorems for hypersurfaces with \(H_r=0\)
• The barrier principle for minimal submanifolds of arbitrary codimension
• Enclosure theorems for generalized mean curvature flows
• Elliptic partial differential equations of second order
• Maximum principles for minimal surfaces and for surfaces of continuous mean curvature
• Global Analysis of Minimal Surfaces

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